anonymous one year ago A triangle can be formed with side lengths 4 in, 5 in, and 8 in. True False

1. anonymous

@Michele_Laino

2. anonymous

add the smaller numbers together, and if it is bigger than the bigger number, than it is a triangle

3. anonymous

Use the Triangle Inequality Theorem

4. anonymous

if you don't know what it is, here is a website that shows you what it is: http://hotmath.com/hotmath_help/topics/triangle-inequality-theorem.html

5. Michele_Laino

I think that it is true

6. anonymous

so find the sum of 4+5

7. anonymous

and if 4+5 is greater than 8, it is true, if not, it is false

8. anonymous

yea 4+5=9 so its true!

9. anonymous

You are correct!

10. anonymous

11. anonymous

sure

12. anonymous

How many triangles can be made if one angle is 95° and another angle is acute? 1 2 More than 2 None

13. anonymous

okay, so an acute angle is an angle less than 90 degrees

14. anonymous

ok

15. anonymous

and a triangle can be made with 3 angles added up to 180 degrees, right?

16. anonymous

yea

17. anonymous

so what do you think the answer is

18. anonymous

more than 2

19. anonymous

correct, i think

20. anonymous

I am not 100% sure though, but I still think you are correct

21. anonymous

ok lets hope for the best! :)

22. anonymous

okay, bye

23. Michele_Laino

here is my reasoning: we have another 85 degrees which have to be subsdivided in 2 angles, now being 85 < 90, then each of those of two angles also is less than 90 degrees

24. anonymous

so what do you think it is?

25. Michele_Laino

I think it is more than 2 triangles, since we have these subsequent triangles: 95, 40, 45 95, 50, 35 95, 55, 30

26. anonymous

ok thanks :)

27. anonymous

I agree with @Michele_Laino